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#1 Posted 1:46pm 11-03-10 easyno. of distinct real roots of f"(x) if f(x)=(x-1)[p]25[/p](x-2)[p]43[/p](x-3)[p]11[/p] |
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#2 Posted 00:03am 12-03-10 Re: easy[im]http://latex.codecogs.com/gif.latex?Let%20\;%20f%27%28x%29=k%28x%29f%28x%29%20\;%20then%20f%22%28x%29=f%28x%29[k^{2}%28x%29+k%27%28x%29][/im] [im]http://latex.codecogs.com/gif.latex?k%28x%29=\frac{25}{%28x-1%29}+\frac{43}{%28x-2%29}+\frac{11}{%28x-3%29}[/im] |
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#3 Posted 06:50am 16-03-10 Re: easyThat reasoning fails with repeated roots. x=1,2,3 are roots of f"(x) = 0 too |
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